Continuous dependence for solution classes of Euler-Lagrange equations generated by linear growth energies

• Autorzy: Ken Shirakawa
• Języki publikacji: EN

Abstrakty

EN

In this paper, a one-dimensional Euler-Lagrange equation associated with the total variation energy, and Euler-Lagrange equations generated by approximating total variations with linear growth, are considered. Each of the problems presented can be regarded as a governing equation for steady-states in solid-liquid phase transitions. On the basis of precise structural analysis for the solutions, the continuous dependence between the solution classes of approximating problems and that of the limiting Euler-Lagrange equation will be studied by means of the analytical methods of set-valued analysis.

Kategorie tematyczne

• 35J20: Variational methods for second-order elliptic equations
• 58C06: Set valued and function-space valued mappings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 86
• Numer: 1
• Strony: 287-302

Daty

wydano

2009

Twórcy

autor

Ken Shirakawa

• Department of Applied Mathematics, Graduate School of Engineering, Kobe University, 1-1 Rokkodai, Nada, Kobe, 657-8501, Japan

Identyfikatory

DOI

10.4064/bc86-0-18